Search a number
-
+
1231261668 = 2233713223419
BaseRepresentation
bin100100101100011…
…1000111111100100
310011210211120111000
41021120320333210
510010200333133
6322102113300
742340360110
oct11130707744
93153746430
101231261668
1158201912a
122a441b830
1316811b800
14b974a740
1573163413
hex49638fe4

1231261668 has 288 divisors, whose sum is σ = 4131993600. Its totient is φ = 309868416.

The previous prime is 1231261657. The next prime is 1231261723. The reversal of 1231261668 is 8661621321.

It is a happy number.

1231261668 is a `hidden beast` number, since 1 + 2 + 31 + 2 + 616 + 6 + 8 = 666.

1231261668 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12312616682 = 3032010590172284448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2938363 + ... + 2938781.

It is an arithmetic number, because the mean of its divisors is an integer number (14347200).

Almost surely, 21231261668 is an apocalyptic number.

1231261668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231261668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065996800).

1231261668 is an abundant number, since it is smaller than the sum of its proper divisors (2900731932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1231261668 is a wasteful number, since it uses less digits than its factorization.

1231261668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1231261668 is about 35089.3383807675. The cubic root of 1231261668 is about 1071.8074868248.

Adding to 1231261668 its reverse (8661621321), we get a palindrome (9892882989).

The spelling of 1231261668 in words is "one billion, two hundred thirty-one million, two hundred sixty-one thousand, six hundred sixty-eight".